Affine crystals, one-dimensional sums and parabolic Lusztig q-analogues - Mathematics > Quantum AlgebraReport as inadecuate




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Abstract: This paper is concerned with one-dimensional sums in classical affine types.We prove a conjecture of the third author and Zabrocki by showing they alldecompose in terms of one-dimensional sums related to affine type A providedthe rank of the root system considered is sufficiently large. As a consequence,any one-dimensional sum associated to a classical affine root system withsufficiently large rank can be regarded as a parabolic Lusztig q-analogue.



Author: Cedric Lecouvey, Masato Okado, Mark Shimozono

Source: https://arxiv.org/







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